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Slip-boundary effects on the polar liquid film motor (PLFM) -- a novelmicro-fluidic device with important implications for advancing knowledge onliquid micro-film's structure, dynamics, modeling and technology -- arestudied. We develop a mathematical model, under slip boundary conditions,describing electro-hydro-dynamical rotations in the PLFMs induced either bydirect current (DC) or alternating current (AC) fields. Our main results are:(i) rotation characteristics depend on the ratio $k=l_{s}/D$ ($l_{s}$ denotesthe slip length, resulting from the interface's impact on the structure of theliquid and $D$ denotes the film's diameter). (ii) As $k$ ($k>-1/2$) increases:(a) PLFMs subsequently exhibit rotation characteristics under "negative-","no-", "partial-" and "perfect-" slip boundary conditions; (b) the maximumvalue of the linear velocity of the steady rotating liquid film increases andits location approaches the film's border; (c) the decay of the angularvelocities' dependency on the distance from the center of the film slows down,resulting in a macroscopic flow near the boundary. (iii) In addition to $k$,the rotation characteristics of the AC PLFM depend on the magnitudes, thefrequencies, and the phase difference of the AC fields. (iv) Our analyticalderived rotation speed distributions are consistent with the existingexperimental ones.

Effects of interfaces on dynamics in micro-fluidic devices: slip-boundaries' impact on rotation characteristics of polar liquid film motors